Details

Time bar (total: 14.1s)

sample25.0ms

Algorithm
intervals
Results
10.0ms304×body80valid
1.0ms2×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid

simplify62.0ms

Counts
1 → 1
Iterations
IterNodes
done82
582
481
370
244
119
09

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ d2 (+ 10.0 20.0)) d1)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*l*
3×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt distribute-lft-out
2×associate-*l/
1×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
56.0ms
(* (+ d2 (+ 10.0 20.0)) d1)

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* (+ d2 (+ 10.0 20.0)) d1)

simplify2.2s

Counts
27 → 27
Iterations
IterNodes
done5000
33312
2525
1129
049

prune94.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ d2 (+ 10.0 20.0)))
0.2b
(cbrt (+ d2 (+ 10.0 20.0)))
0.3b
(* (cbrt (+ d2 (+ 10.0 20.0))) d1)
0.4b
(* (* (cbrt (+ d2 (+ 10.0 20.0))) (cbrt (+ d2 (+ 10.0 20.0)))) (* (cbrt (+ d2 (+ 10.0 20.0))) d1))

rewrite341.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
34×associate-*l/
30×flip3-+ flip-+
28×frac-times
24×*-un-lft-identity
18×pow1 add-exp-log
16×cbrt-prod
13×add-sqr-sqrt
11×add-cbrt-cube
9×associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod distribute-lft-out
8×associate-*r/
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×pow1/3 *-commutative unswap-sqr
Counts
4 → 112
Calls
4 calls:
19.0ms
(cbrt (+ d2 (+ 10.0 20.0)))
19.0ms
(cbrt (+ d2 (+ 10.0 20.0)))
63.0ms
(* (cbrt (+ d2 (+ 10.0 20.0))) d1)
233.0ms
(* (* (cbrt (+ d2 (+ 10.0 20.0))) (cbrt (+ d2 (+ 10.0 20.0)))) (* (cbrt (+ d2 (+ 10.0 20.0))) d1))

series640.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(cbrt (+ d2 (+ 10.0 20.0)))
122.0ms
(cbrt (+ d2 (+ 10.0 20.0)))
333.0ms
(* (cbrt (+ d2 (+ 10.0 20.0))) d1)
58.0ms
(* (* (cbrt (+ d2 (+ 10.0 20.0))) (cbrt (+ d2 (+ 10.0 20.0)))) (* (cbrt (+ d2 (+ 10.0 20.0))) d1))

simplify2.0s

Counts
124 → 124
Iterations
IterNodes
done5002
21938
1628
0212

prune692.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ d2 (+ 10.0 20.0)))
0.0b
(sqrt (+ d2 (+ 10.0 20.0)))
0.1b
(* (sqrt (+ d2 (+ 10.0 20.0))) d1)
0.3b
(* (sqrt (+ d2 (+ 10.0 20.0))) (* (sqrt (+ d2 (+ 10.0 20.0))) d1))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×add-sqr-sqrt sqrt-prod
18×sqrt-div
16×associate-*l*
13×pow1
12×distribute-lft-out
11×add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*l/
9×flip3-+ flip-+
4×expm1-log1p-u frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ *-commutative hypot-def unswap-sqr
Counts
4 → 101
Calls
4 calls:
47.0ms
(sqrt (+ d2 (+ 10.0 20.0)))
38.0ms
(sqrt (+ d2 (+ 10.0 20.0)))
53.0ms
(* (sqrt (+ d2 (+ 10.0 20.0))) d1)
113.0ms
(* (sqrt (+ d2 (+ 10.0 20.0))) (* (sqrt (+ d2 (+ 10.0 20.0))) d1))

series269.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(sqrt (+ d2 (+ 10.0 20.0)))
49.0ms
(sqrt (+ d2 (+ 10.0 20.0)))
129.0ms
(* (sqrt (+ d2 (+ 10.0 20.0))) d1)
52.0ms
(* (sqrt (+ d2 (+ 10.0 20.0))) (* (sqrt (+ d2 (+ 10.0 20.0))) d1))

simplify2.9s

Counts
113 → 113
Iterations
IterNodes
done5000
33900
21067
1358
0138

prune573.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* d2 d2) (- (* (+ 10.0 20.0) (+ 10.0 20.0)) (* d2 (+ 10.0 20.0))))
0.1b
(* d2 (* d2 d2))
1.9b
(* d1 (fma (+ 10.0 20.0) (* (+ 10.0 20.0) (+ 10.0 20.0)) (* d2 (* d2 d2))))
12.3b
(/ (* d1 (fma (+ 10.0 20.0) (* (+ 10.0 20.0) (+ 10.0 20.0)) (* d2 (* d2 d2)))) (+ (* d2 d2) (- (* (+ 10.0 20.0) (+ 10.0 20.0)) (* d2 (+ 10.0 20.0)))))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
16×add-cbrt-cube add-exp-log
12×add-sqr-sqrt
9×*-un-lft-identity add-cube-cbrt add-log-exp
6×associate-*l*
5×associate-+r+ prod-exp pow-prod-up cbrt-unprod
4×expm1-log1p-u associate-*r* pow-prod-down log1p-expm1-u
3×associate-/r* times-frac
2×distribute-rgt-in cbrt-undiv sum-log distribute-lft-in flip3-+ div-exp associate--l+ associate-/r/ *-commutative flip-+ fma-udef unswap-sqr
1×pow2 +-commutative clear-num associate-+r- sub-neg fma-def frac-2neg pow-plus diff-log cube-unmult prod-diff pow-sqr div-inv associate-/l*
Counts
4 → 94
Calls
4 calls:
53.0ms
(+ (* d2 d2) (- (* (+ 10.0 20.0) (+ 10.0 20.0)) (* d2 (+ 10.0 20.0))))
28.0ms
(* d2 (* d2 d2))
11.0ms
(* d1 (fma (+ 10.0 20.0) (* (+ 10.0 20.0) (+ 10.0 20.0)) (* d2 (* d2 d2))))
111.0ms
(/ (* d1 (fma (+ 10.0 20.0) (* (+ 10.0 20.0) (+ 10.0 20.0)) (* d2 (* d2 d2)))) (+ (* d2 d2) (- (* (+ 10.0 20.0) (+ 10.0 20.0)) (* d2 (+ 10.0 20.0)))))

series558.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ (* d2 d2) (- (* (+ 10.0 20.0) (+ 10.0 20.0)) (* d2 (+ 10.0 20.0))))
62.0ms
(* d2 (* d2 d2))
172.0ms
(* d1 (fma (+ 10.0 20.0) (* (+ 10.0 20.0) (+ 10.0 20.0)) (* d2 (* d2 d2))))
284.0ms
(/ (* d1 (fma (+ 10.0 20.0) (* (+ 10.0 20.0) (+ 10.0 20.0)) (* d2 (* d2 d2)))) (+ (* d2 d2) (- (* (+ 10.0 20.0) (+ 10.0 20.0)) (* d2 (+ 10.0 20.0)))))

simplify1.5s

Counts
106 → 106
Iterations
IterNodes
done5001
21467
1414
0160

prune673.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample709.0ms

Algorithm
intervals
Results
483.0ms9006×body80valid
12.0ms72×body1280valid
6.0ms47×body640valid
3.0ms29×body320valid
1.0ms10×body160valid